1992×19941994-1994×19931993= .

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

1. 将大数进行结构拆解,显现出公共部分的乘数

由多位数的特征可知,19941994=1994×1000119941994 = 1994 \times 10001,19931993=1993×1000119931993 = 1993 \times 10001。
代入原式可得:
1992×19941994−1994×19931993=1992×1994×10001−1994×1993×100011992 \times 19941994 - 1994 \times 19931993 = 1992 \times 1994 \times 10001 - 1994 \times 1993 \times 10001

2. 利用乘法分配律提取公因数,简化运算

观察到两项中均含有公因数 1994×100011994 \times 10001,提取公因数后变形为:
1994×10001×(1992−1993)1994 \times 10001 \times (1992 - 1993)构建简便计算形式。

3. 计算括号内的差,并求出最终乘积

计算括号内:1992−1993=−11992 - 1993 = -1。
原式化为:
19941994×(−1)=−1994199419941994 \times (-1) = -19941994

Answer

-19941994

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1小明在计算完237×62237×62后,想核实计算的结果是否正确,可以用 ___ ×× ___ 来进行检验.
  2. 2能用简便方法计算的用简便方法计算. 1.25×2.5×8×41.25×2.5×8×4; 9.9×9.819.9×9.81; 0.027+9.98×0.270.027+9.98×0.27; 15.8×69.3−68.3×15.8.15.8×69.3-68.3×15.8.
  3. 375×3×25×3=(75+25)×3 ___
  4. 443×102=43×100+2. .
  5. 5对5.5×101-5.5进行简算,将会运用( ) A. 乘法交换律 B. 乘法分配律 C. 乘法结合律 D. 加法结合律